Question

Line s has an equation of y = x - 10. Line t is parallel to line s and passes through

Answer 1

Answer: $y = x - 4$

Step-by-step explanation:

The formula for finding equation of line in slope - intercept form is given by

y = mx + c , where m is the slope and c is the y - intercept.

The equation of the line s given is :

$y = x - 10$ , comparing with $y = mx + c$ , this means that slope = 1

Two lines are said to be parallel if they have the same slope , this means that the slope of line t is also 1.

To find the equation , we will use the formula :

$y - y_{1} = m ( x -x_{1})$

$y - (-3) = 1 ( x - (-1) )$

$y + 3 = x - 1$

$y = x - 1 - 3$

$y = x - 4$

Therefore , the equation of line t is $y = x - 4$